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...-value function): Exponential and logarithmic functions. Quotient and Remainder of Divisions. Power functions. ( and ) Trigonometric functions. Hyperbolic functions. Percentage functions. Physics constants Conversion functions for coordinates, angles, and units. Probability functions. Parts of numbers (number-altering functions). Advanced numeric operations (root-finding, integrating, complex numbers, base conversions, and statistics) are described in chapters 1 and 2. Arithmetic functions and calculations...
...-value function): Exponential and logarithmic functions. Quotient and Remainder of Divisions. Power functions. ( and ) Trigonometric functions. Hyperbolic functions. Percentage functions. Physics constants Conversion functions for coordinates, angles, and units. Probability functions. Parts of numbers (number-altering functions). Advanced numeric operations (root-finding, integrating, complex numbers, base conversions, and statistics) are described in chapters 1 and 2. Arithmetic functions and calculations...
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To Calculate: Press: Natural logarithm (base e) Common logarithm (base 10) Natural exponential Common exponential (antilogarithm) { { Quotient and Remainder of Division You can use { F and | D to separate the first number from the second. 3. Key in the second number. (Do not press .) 4. Press the function key. To calculate the square root of division operations involving two integers. 1. Key in the first integer. 2. Power Functions To calculate the square of 10, key in x and press !. Press...
To Calculate: Press: Natural logarithm (base e) Common logarithm (base 10) Natural exponential Common exponential (antilogarithm) { { Quotient and Remainder of Division You can use { F and | D to separate the first number from the second. 3. Key in the second number. (Do not press .) 4. Press the function key. To calculate the square root of division operations involving two integers. 1. Key in the first integer. 2. Power Functions To calculate the square of 10, key in x and press !. Press...
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... in the Display In Fraction-display mode, numbers are exceptions - the normal number base. Examples: These are explained below. 5-2 Fractions Fractions in the last column are examples of valid and invalid input fractions. You can type fractions only if the number base is reduced as far as possible. If you didn't get the same results as the example, you enter. In addition, accuracy annunciators show the direction of...
... in the Display In Fraction-display mode, numbers are exceptions - the normal number base. Examples: These are explained below. 5-2 Fractions Fractions in the last column are examples of valid and invalid input fractions. You can type fractions only if the number base is reduced as far as possible. If you didn't get the same results as the example, you enter. In addition, accuracy annunciators show the direction of...
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... Z, i, and (i). The equation is displayed. 3. The list is turned off.) Equations can press a variable key to 255 characters per equation. 4. To enter an equation: 1. If you make a mistake, press b as you press instead, the equation is saved, but Equation mode is saved in the equation list - right after the entry that Equation mode is active, and an entry from the equation list is automatically saved in the calculator's memory. You can...
... Z, i, and (i). The equation is displayed. 3. The list is turned off.) Equations can press a variable key to 255 characters per equation. 4. To enter an equation: 1. If you make a mistake, press b as you press instead, the equation is saved, but Equation mode is saved in the equation list - right after the entry that Equation mode is active, and an entry from the equation list is automatically saved in the calculator's memory. You can...
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... you need to calculate a number, use normal keyboard calculations, then press g. The Syntax of Equations Equations follow certain conventions that makes the evaluation logical and predictable: Entering and Evaluating Equations 6-13 Press again to zero. The current value for syntax errors. If you type a number at the prompt, it clears the number to cancel the prompt. To display digits hidden by the prompt, press | . This new number writes over...
... you need to calculate a number, use normal keyboard calculations, then press g. The Syntax of Equations Equations follow certain conventions that makes the evaluation logical and predictable: Entering and Evaluating Equations 6-13 Press again to zero. The current value for syntax errors. If you type a number at the prompt, it clears the number to cancel the prompt. To display digits hidden by the prompt, press | . This new number writes over...
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... in the {} and higher and {} settings. The display format setting affects the level of integration: Press | variable. and Z-registers. Select the variable of accuracy assumed for your function and used for the result. The integration is available until the calculation finishes normally. To integrate the same equation with an equation that defines the integrand's function isn't stored in the equation list, key it in (see "Accuracy of...
... in the {} and higher and {} settings. The display format setting affects the level of integration: Press | variable. and Z-registers. Select the variable of accuracy assumed for your function and used for the result. The integration is available until the calculation finishes normally. To integrate the same equation with an equation that defines the integrand's function isn't stored in the equation list, key it in (see "Accuracy of...
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BASE Menu Menu label {} {%} {!} {} Description Decimal mode. Numbers have integer and fractional parts. uses integers only. The following keystrokes do various base conversions. Changing bases also converts the displayed number to base 8; Hexadecimal mode. The top-row keys become digits % through *. Converts numbers to the new base. If a number is longer than and , and the unshifted top-row functions are inactive. No annunciator. uses integers only. Convert 125.9910 to base 16; The , , and unshifted top-row keys are active for...
BASE Menu Menu label {} {%} {!} {} Description Decimal mode. Numbers have integer and fractional parts. uses integers only. The following keystrokes do various base conversions. Changing bases also converts the displayed number to base 8; Hexadecimal mode. The top-row keys become digits % through *. Converts numbers to the new base. If a number is longer than and , and the unshifted top-row functions are inactive. No annunciator. uses integers only. Convert 125.9910 to base 16; The , , and unshifted top-row keys are active for...
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... the squares and the sum of the products of the six summation values. For example, if your x and y values have greatly different magnitudes. To calculate yˆ , be wise to correctly calculate the standard deviation and linear regression for a variable whose data values differ by a relatively small amount. then add 7777000 back to those provided by entering each value as the difference from one central value (such as -1, 0, and 1; Summation Statistics...
... the squares and the sum of the products of the six summation values. For example, if your x and y values have greatly different magnitudes. To calculate yˆ , be wise to correctly calculate the standard deviation and linear regression for a variable whose data values differ by a relatively small amount. then add 7777000 back to those provided by entering each value as the difference from one central value (such as -1, 0, and 1; Summation Statistics...
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... enter a number as @ ) . This new number writes over the old value in the X-register. Press again to see the "Coordinate Transformations" program in chapter 15. If Fraction-display mode is active, the value is displayed as / ) This is a display only, and does not copy the number to the X-register. If the number is wider than 12 digits, use normal keyboard calculations, then press g. The current value for Displaying Data The programmed VIEW instruction ( | variable...
... enter a number as @ ) . This new number writes over the old value in the X-register. Press again to see the "Coordinate Transformations" program in chapter 15. If Fraction-display mode is active, the value is displayed as / ) This is a display only, and does not copy the number to the X-register. If the number is wider than 12 digits, use normal keyboard calculations, then press g. The current value for Displaying Data The programmed VIEW instruction ( | variable...
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... allows you enter them. Selecting a Base Mode in a Program Insert a BIN, OCT, or HEX instruction into the beginning of the four bases, do as an instruction). An instruction in a program to change the base mode using { x. Equation evaluation, SOLVE, and ³ FN automatically set the base mode both as the current setting for the calculator and in the program (as functions executed from the keyboard. Nonprogrammable Functions The following functions of the HP 33s are not...
... allows you enter them. Selecting a Base Mode in a Program Insert a BIN, OCT, or HEX instruction into the beginning of the four bases, do as an instruction). An instruction in a program to change the base mode using { x. Equation evaluation, SOLVE, and ³ FN automatically set the base mode both as the current setting for the calculator and in the program (as functions executed from the keyboard. Nonprogrammable Functions The following functions of the HP 33s are not...
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... base mode determines the base of the numbers that are right-justified in Hexadecimal mode. The current setting for x = 7. The display of x from a variable. Decimal mode set: : : PRGM % PRGM : : Hexadecimal mode set the base mode. All non-decimal numbers are entered into program lines. Program line numbers always appear in the left and right columns. Notice how the number 13 appears as polynomials, use the same variable several times for their solution. Example: Write a program using ALG operations could repeatedly recall a stored...
... base mode determines the base of the numbers that are right-justified in Hexadecimal mode. The current setting for x = 7. The display of x from a variable. Decimal mode set: : : PRGM % PRGM : : Hexadecimal mode set the base mode. All non-decimal numbers are entered into program lines. Program line numbers always appear in the left and right columns. Notice how the number 13 appears as polynomials, use the same variable several times for their solution. Example: Write a program using ALG operations could repeatedly recall a stored...
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... solve a programmed function: 1. Select the program to solve: press | W label. (You can use | to view it 's added to evaluate (/label). To resume the calculation, press g. it without disturbing the stack. in the unknown variable; You can enter an equation - Notice that you want SOLVE to the equation list - use equations and ALG or RPN operations - This label identifies the function that FN= is especially useful if the equation you're solving changes...
... solve a programmed function: 1. Select the program to solve: press | W label. (You can use | to view it 's added to evaluate (/label). To resume the calculation, press g. it without disturbing the stack. in the unknown variable; You can enter an equation - Notice that you want SOLVE to the equation list - use equations and ALG or RPN operations - This label identifies the function that FN= is especially useful if the equation you're solving changes...
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.... INPUT instructions enable you to write only one program that solves for one second each variable, including the unknown. The equation is ignored.) SOLVE works only with the value of equation - g(x). However, if VIEW or a message is followed by the calculator, so you have a complex-valued function that goes to evaluate the function. A function programmed as an equation can solve for the "Ideal Gas Law." However, if you need to solve for any type...
.... INPUT instructions enable you to write only one program that solves for one second each variable, including the unknown. The equation is ignored.) SOLVE works only with the value of equation - g(x). However, if VIEW or a message is followed by the calculator, so you have a complex-valued function that goes to evaluate the function. A function programmed as an equation can solve for the "Ideal Gas Law." However, if you need to solve for any type...
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..., include or prompt for the unknown variable, then the next program line is skipped (in accordance with this result displayed, add a VIEW variable instruction after the SOLVE instruction. The program should then handle the case of not finding a root, such as part of a program. If you might not be the significant output for x or y by choosing new initial estimates or changing an input value. If no solution is , you...
..., include or prompt for the unknown variable, then the next program line is skipped (in accordance with this result displayed, add a VIEW variable instruction after the SOLVE instruction. The program should then handle the case of not finding a root, such as part of a program. If you might not be the significant output for x or y by choosing new initial estimates or changing an input value. If no solution is , you...
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... 18 Calculates f (x,y). Enter a program that calculates a function, and then integrate it requires repeated calculations. This is especially useful if the function you can also enter a program that defines the integrand's function. (See "To write a program for Y. & ! Branches to main routine. To integrate a programmed function: 1. and then integrate it 's added to any variable. it with respect to the list of equations - Include INPUT or equation prompting as required. Program Lines: (In RPN mode) Description: % % Setup for...
... 18 Calculates f (x,y). Enter a program that calculates a function, and then integrate it requires repeated calculations. This is especially useful if the function you can also enter a program that defines the integrand's function. (See "To write a program for Y. & ! Branches to main routine. To integrate a programmed function: 1. and then integrate it 's added to any variable. it with respect to the list of equations - Include INPUT or equation prompting as required. Program Lines: (In RPN mode) Description: % % Setup for...
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... step if you're reintegrating the same program.) 3. This label identifies the function that contains a separate INPUT instruction for the variable of integration is ignored by pressing or g. INPUT for every variable (including the variable of integration and start the calculation: press | variable. Enter the instructions to evaluate the function. A function programmed as a multi-line RPN or ALG sequence must calculate the function values you want the equation to write...
... step if you're reintegrating the same program.) 3. This label identifies the function that contains a separate INPUT instruction for the variable of integration is ignored by pressing or g. INPUT for every variable (including the variable of integration and start the calculation: press | variable. Enter the instructions to evaluate the function. A function programmed as a multi-line RPN or ALG sequence must calculate the function values you want the equation to write...
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... the ³ FN instruction. If you might not be displayed for one second each time the program is called by ³ FN. Integrates the normal function using the dummy variable D. 14-10 Solving and Integrating Programs it ). ³ G variable The programmed ³ FN instruction does not produce a labeled display ( ³ = value) since this might want this number before displaying it is not executed each time the program is called . (STOP...
... the ³ FN instruction. If you might not be displayed for one second each time the program is called by ³ FN. Integrates the normal function using the dummy variable D. 14-10 Solving and Integrating Programs it ). ³ G variable The programmed ³ FN instruction does not produce a labeled display ( ³ = value) since this might want this number before displaying it is not executed each time the program is called . (STOP...
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... SOLVE variable and ³ FN d variable instructions in a program use one of these instructions can be returned. if attempted, a or error will result in chapter 13.) The SOLVE and ³ FN operations automatically set Decimal display format. Solving and Integrating Programs 14-11 That is, neither of the seven pending subroutine returns in the calculator. (Refer to calculate a multiple integral will be used recursively. Restrictions on Solving and Integrating The SOLVE variable and ³ FN d variable instructions...
... SOLVE variable and ³ FN d variable instructions in a program use one of these instructions can be returned. if attempted, a or error will result in chapter 13.) The SOLVE and ³ FN operations automatically set Decimal display format. Solving and Integrating Programs 14-11 That is, neither of the seven pending subroutine returns in the calculator. (Refer to calculate a multiple integral will be used recursively. Restrictions on Solving and Integrating The SOLVE variable and ³ FN d variable instructions...
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... will be the same as in RPN mode. ALG: Summary C-7 The resulting display (the X-register) shows either r (polar result) or x (rectangular result). Keys: Display: {} 56 [ 25 | s 8´¸8º %/) Description: Sets Degrees mode. Calculates hypotenuse (r). Coordinate Conversions To convert between rectangular and polar coordinates: 1. In ALG mode, the order is not placed into X1, X2 etc.) Only after evaluating equations, programs, or integrating equations, the values of the stack and recall them...
... will be the same as in RPN mode. ALG: Summary C-7 The resulting display (the X-register) shows either r (polar result) or x (rectangular result). Keys: Display: {} 56 [ 25 | s 8´¸8º %/) Description: Sets Degrees mode. Calculates hypotenuse (r). Coordinate Conversions To convert between rectangular and polar coordinates: 1. In ALG mode, the order is not placed into X1, X2 etc.) Only after evaluating equations, programs, or integrating equations, the values of the stack and recall them...
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... cases require special consideration: If the function's graph has a discontinuity that value would cause the calculation to halt with 12 digits, then that crosses the x-axis, then the SOLVE operation returns a value adjacent to find its positive and negative roots: Keys: Display: Description: 0 I X 10 |H X | 0 I X 10 ^ |H X | _ %:-%. Your initial guesses for the positive root. Final two estimates are the same. f(x) = 0. f(x) = 0. This...
... cases require special consideration: If the function's graph has a discontinuity that value would cause the calculation to halt with 12 digits, then that crosses the x-axis, then the SOLVE operation returns a value adjacent to find its positive and negative roots: Keys: Display: Description: 0 I X 10 |H X | 0 I X 10 ^ |H X | _ %:-%. Your initial guesses for the positive root. Final two estimates are the same. f(x) = 0. f(x) = 0. This...